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Krishna
कृष्ण,LOL


Registered: 05/08/03
Posts: 23,285
Loc: oakland
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mathematical paradox
#5465986 - 04/01/06 12:27 AM (17 years, 9 months ago) |
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3 people go into a hotel. the sign says 10$/person/night, so they each pull out 10 1$ bills, and proceed to the counter. after giving 30$ (10X3) to the proprieter, he says to the three, "i've got a deal, one room for 3 for 25$". of course, they take the deal, and now have $5 in change to spread out. being three people, they decide to take 1$ each, and give the manager 2$ as a tip. so, they paid 10$ each, and received 1$ back each, thus they paid 9$/person. plus the 2$ tip, makes 9X3=27+2=29. Where did the last dollar go?
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Triad
♫Tool♫



Registered: 08/19/05
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Re: mathematical paradox [Re: Krishna]
#5465997 - 04/01/06 12:31 AM (17 years, 9 months ago) |
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They all didn't pay equal amounts if it was $25, they paid $8.33 + $1.00 each. so $9.33 each.
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Krishna
कृष्ण,LOL


Registered: 05/08/03
Posts: 23,285
Loc: oakland
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Re: mathematical paradox [Re: Triad]
#5466001 - 04/01/06 12:32 AM (17 years, 9 months ago) |
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yes, from that perspective it works. but if you look at it as they each paid 10$, then got 1$ back each (plus the 2$ tip) - then they paid 10-1=9$ each + 2 = 29$!
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Triad
♫Tool♫



Registered: 08/19/05
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Re: mathematical paradox [Re: Triad]
#5466009 - 04/01/06 12:34 AM (17 years, 9 months ago) |
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Is this proven to be a paradox, or should I keep trying to find a way around it
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Noetical
Flip Horrorshow

Registered: 11/28/04
Posts: 9,230
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Re: mathematical paradox [Re: Krishna]
#5466011 - 04/01/06 12:35 AM (17 years, 9 months ago) |
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Stop abusing math!
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knowhereman
fuck ratings


Registered: 01/03/06
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Loc: USA
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Re: mathematical paradox [Re: Krishna]
#5466012 - 04/01/06 12:35 AM (17 years, 9 months ago) |
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After the deal they DIDN'T end up paying $9 each..cause if they did they would pay the room for three for $27 and not for the $25 the manager offered.
Technically if they split the $25 with eachother they'd each pay about $8.33, but they didn't split the $25 dollars..they decided to slpit the $5 change.
$1 dollar for each 5-3= 2 the $2 left tips the manager. there is no "last dollar" left.
-------------------- Everybody HA HA!
Edited by knowhereman (04/01/06 12:36 AM)
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Krishna
कृष्ण,LOL


Registered: 05/08/03
Posts: 23,285
Loc: oakland
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Re: mathematical paradox [Re: Triad]
#5466013 - 04/01/06 12:35 AM (17 years, 9 months ago) |
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it can be resolved, mathematically, using set-theory. but in terms of normal arithmetic, it stays as a paradox. it just depends on the wording of the whole exchange - as you expalained it, it equals out to 30$, but as i did, a dollar is missing
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Noetical
Flip Horrorshow

Registered: 11/28/04
Posts: 9,230
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Re: mathematical paradox [Re: Krishna]
#5466015 - 04/01/06 12:37 AM (17 years, 9 months ago) |
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You've been listening to that crazy mystic logic to much in S&P
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NickSoapdish
Hypochondriac


Registered: 04/15/05
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Re: mathematical paradox [Re: Krishna]
#5466016 - 04/01/06 12:37 AM (17 years, 9 months ago) |
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???
But they didnt pay $9 each, it was $25 total, so they each paid $8.33 (3x8.33 = 25) like triad said, then two of them gave a dollar to the manager (25 + 2 = 27), then had 3 dollars left amongst the three of them, or a dollar a piece. It makes sense.
Edit: much too late with that one I see
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Edited by NickSoapdish (04/01/06 12:39 AM)
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Krishna
कृष्ण,LOL


Registered: 05/08/03
Posts: 23,285
Loc: oakland
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Re: mathematical paradox [Re: knowhereman]
#5466017 - 04/01/06 12:37 AM (17 years, 9 months ago) |
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the manager offered 25$, so 5$ change. to split this up, they took one each, and gave him 2 as a tip. so, looking at the final exchange - they paid 10$ each. they got 1$ back, each. so they paid 9$ each. the manager got 2$ in tip. only 29!
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Noetical
Flip Horrorshow

Registered: 11/28/04
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Re: mathematical paradox [Re: knowhereman]
#5466025 - 04/01/06 12:40 AM (17 years, 9 months ago) |
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In highschool one time for English we had to do a video assignment about and are narrator wore a trench coat and old school hat and whenever he would talk we had nowhereman playing in the background.
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Cowgold
Bullshit


Registered: 04/04/05
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Re: mathematical paradox [Re: Krishna]
#5466027 - 04/01/06 12:40 AM (17 years, 9 months ago) |
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$25 for the room $2 to the manager. $25+$2= $27
$27 for the room plus $1 for each dude... $3. $27 + $3 = $30
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Triad
♫Tool♫



Registered: 08/19/05
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Re: mathematical paradox [Re: Triad]
#5466028 - 04/01/06 12:41 AM (17 years, 9 months ago) |
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The only problem is that it's not possible they all paid equal amounts.
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Krishna
कृष्ण,LOL


Registered: 05/08/03
Posts: 23,285
Loc: oakland
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Re: mathematical paradox [Re: Noetical]
#5466029 - 04/01/06 12:41 AM (17 years, 9 months ago) |
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Cowgold
Bullshit


Registered: 04/04/05
Posts: 12,486
Loc: .
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Re: mathematical paradox [Re: Cowgold]
#5466033 - 04/01/06 12:42 AM (17 years, 9 months ago) |
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Quote:
Brandon said:
Edit: much too late with that one I see
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Noetical
Flip Horrorshow

Registered: 11/28/04
Posts: 9,230
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Re: mathematical paradox [Re: Krishna]
#5466035 - 04/01/06 12:42 AM (17 years, 9 months ago) |
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You make baby jesus cry when you don't adhere to the laws of mathematics
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Stonerguy
I smoke penis


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Re: mathematical paradox [Re: Krishna]
#5466039 - 04/01/06 12:42 AM (17 years, 9 months ago) |
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You don't use the 2.... They paid that after the discount so you use each get 1 dollar adds up to 30
-------------------- yawn... SG
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Cowgold
Bullshit


Registered: 04/04/05
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Re: mathematical paradox [Re: Stonerguy]
#5466046 - 04/01/06 12:45 AM (17 years, 9 months ago) |
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Krishna
कृष्ण,LOL


Registered: 05/08/03
Posts: 23,285
Loc: oakland
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Re: mathematical paradox [Re: Cowgold]
#5466047 - 04/01/06 12:45 AM (17 years, 9 months ago) |
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yes but, 30 for the room - 5 (to make it 25 for the room) + 3 for each person - so each person is now paying 10-1 + 2 for the manager = 29!
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Lakefingers

Registered: 08/26/05
Posts: 6,440
Loc: mumuland
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Re: mathematical paradox [Re: Krishna]
#5466049 - 04/01/06 12:46 AM (17 years, 9 months ago) |
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I agree with what Triad wrote.
The reasoning of the argument is faulty:
Quote:
कृष्ण,LOL said: so, they paid 10$ each, thus they paid 9$/person ... makes 9X3=27+2=29
They paid $30 as a whole ($10 each). Each individual was given a refund of $1. The whole gave away $2. As a whole they kept $25. There is nothing in the argument that states how they divided up the $25 they paid for the night. Given the background story its reasonable to assume they'd split it equally ($8.33.../each); but given the background info they could just as well divide it unequally. Either way it doesn't matter.
This seems to be a paradox because the narrator flips between assigning certain properties to a group and then to individuals so that the reader confuses these sets (group [the three]/individuals [each one of the group]).
Quote:
Where did the last dollar go?
If you pay 30 bucks a night where you're allowed to have three people in the room you're staying at a seedy hotel. Obviously the proprieter stole the last dollar.
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